document.write( "Question 879144: What is the equation of a hyperbola with foci of (3,2), (3,-2) and an asymptote at y=2(x-3) \n" ); document.write( "
Algebra.Com's Answer #530551 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
foci: (3,2), (3,-2) C(3,0) \"%282-2%29%2F2+=+0\"
\n" ); document.write( "Opens Up and down along x = 3
\n" ); document.write( "Standard Form of an Equation of an Hyperbola opening up and down is:
\n" ); document.write( " \"%28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1\" with C(h,k) and vertices 'b' units up and down from center,
\n" ); document.write( "Foci \"sqrt%28a%5E2%2Bb%5E2%29\"units units up and down from center, along x = h
\n" ); document.write( "& Asymptotes Lines passing thru C(h,k), with slopes m = ± b/a
\n" ); document.write( "\"%28y%29%5E2%2Fb%5E2+-+%28x-3%29%5E2%2Fa%5E2+=+1\"
\n" ); document.write( "asymptote at y=2(x-3), m = ± b/a = 2, b = 2a
\n" ); document.write( "foci:\"sqrt%28a%5E2%2Bb%5E2%29=+sqrt%28a%5E2+%2B+4a%5E2%29=+5a%5E2+\" = 2 , a^2 = 5/2
\n" ); document.write( "and b^2 = 4a^2 = 10
\n" ); document.write( "\"%28y%29%5E2%2F10+-+%28x-3%29%5E2%2F2.5+=+1\" \n" ); document.write( "
\n" );